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Justifications in Calculus.

Authored by Tara Ferlita

Mathematics

11th - 12th Grade

CCSS covered

Used 81+ times

Justifications in Calculus.
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

R(t) represents the rate at which people enter a line, measured in people per minute. What does R'(3) = 4 represent?

At t = 3 minutes, people are entering the line at a rate of 4 people per minute.

At t = 3 minutes, the rate at which people are entering the line is increasing at a rate of 4 people per minute per minute.

At t = 3 minutes, there are 4 people in line.

At t = 4 minutes, 3 people are in line.

Tags

CCSS.HSF.IF.B.4

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

L(t) represents the total number of lollipops that a class has eaten after t minutes. What does L'(10) = 12 represent?

At t = 10 minutes, the class is eating lollipops at a rate of 12 lollipops per minute.

At t = 10 minutes, the class has eaten 12 lollipops.

At t = 10 minutes the rate at which the class is eating lollipops is increasing at a rate of 12 lollipops per minute per minute.

At t = 12 minutes the class has eaten 10 lollipops.

Tags

CCSS.HSF.LE.B.5

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

M(t) represents the number of math problems your AP Calculus class has solved after t minutes.

What does M''(20) = -2 represent?

At t = 20 minutes the rate at which the math class is solving problems is decreasing at a rate of 2 problems per minute per minute.

At t = 20 minutes the rate at which the math class is solving problems is increasing at a rate of 2 problems per minute per minute.

At 20 minutes, the math class is solving problems at a rate of 2 problems per minute.

At 20 minuets the math class has solved -2 problems.

Tags

CCSS.HSF.IF.B.4

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

The temperature of the biscuits at 10 minutes

The average temperature of the biscuits on the time interval 3 to 10 minutes.

The average rate of temperature on the interval 3 to 10 minutes.

The change in temperature of the biscuits on the time interval 3 to 10 minutes.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

The temperature of the biscuits after 10 minutes.

The average rate of the temperature of the biscuits on the time interval 3 to 10 minutes.

The average temperature of the biscuits on the time interval 3 to 10 minutes.

The temperature of the biscuits on the time interval 3 to 10 minutes.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A particle travels along the x-axis. The position of the particle at t = 4 is 10. Which of the following would give you the position of the particle at t = 7?

Media Image
Media Image

v(7)

v(4) + v(7)

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A particle has a positive velocity and a negative acceleration. Which of the following is true?

The speed is increasing.

The speed is decreasing.

The speed is neither increasing or decreasing.

The particle is not moving.

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